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Popular Calculus Problems

derivative of 3+1/2 cosh(2x)	\frac{d}{dx}(3+\frac{1}{2}\cosh(2x))
tangent of f(x)=x^2-9x+17,\at x=4	tangent\:f(x)=x^{2}-9x+17,\at\:x=4
tangent of x^3-3x+3	tangent\:x^{3}-3x+3
sum from n=0 to infinity of (1/7)^n	\sum\:_{n=0}^{\infty\:}(\frac{1}{7})^{n}
integral of+cot^4(3x)	\int\:+\cot^{4}(3x)dx
integral of (9-5e^x+3/(x^2))	\int\:(9-5e^{x}+\frac{3}{x^{2}})dx
derivative of 1/(z^4)	derivative\:\frac{1}{z^{4}}
laplacetransform 1*x^3	laplacetransform\:1\cdot\:x^{3}
integral of 4^{ex}sin(2)(x)	\int\:4^{ex}\sin(2)(x)dx
derivative of f(x)=(x^3+2)(3x^2+1)	derivative\:f(x)=(x^{3}+2)(3x^{2}+1)
integral of (x^3)/((3-x^4)^2)	\int\:\frac{x^{3}}{(3-x^{4})^{2}}dx
derivative of y=2sin(4x)	derivative\:y=2\sin(4x)
y^'-8/x y=(y^3)/(x^{11)}	y^{\prime\:}-\frac{8}{x}y=\frac{y^{3}}{x^{11}}
limit as x approaches 3-of \|x-3\|	\lim\:_{x\to\:3-}(\left\|x-3\right\|)
(dy)/(dt)=3y(y-2)	\frac{dy}{dt}=3y(y-2)
xy^'+y=2x^2	xy^{\prime\:}+y=2x^{2}
derivative of-2x+9	\frac{d}{dx}(-2x+9)
tangent of 3x^2+2x,\at x=-1	tangent\:3x^{2}+2x,\at\:x=-1
derivative of 2e^{-x}cos(x)	\frac{d}{dx}(2e^{-x}\cos(x))
(\partial)/(\partial y)(sin(xy^2))	\frac{\partial\:}{\partial\:y}(\sin(xy^{2}))
(\partial)/(\partial y)(x/(y+2z))	\frac{\partial\:}{\partial\:y}(\frac{x}{y+2z})
integral of x(x-5)	\int\:x(x-5)dx
integral from 0 to 1 of e^{2sqrt(x)}	\int\:_{0}^{1}e^{2\sqrt{x}}dx
integral of 1/(x(sqrt(x-1)))	\int\:\frac{1}{x(\sqrt{x-1})}dx
integral from-1 to 1 of xsqrt(1-x^2)	\int\:_{-1}^{1}x\sqrt{1-x^{2}}dx
derivative of y=4arcsin(5)x^5	derivative\:y=4\arcsin(5)x^{5}
taylor (1+x)^{-1}	taylor\:(1+x)^{-1}
tangent of y=-3x^3-2x^2-x+3,(-1,5)	tangent\:y=-3x^{3}-2x^{2}-x+3,(-1,5)
integral of x/((x^2+1))	\int\:\frac{x}{(x^{2}+1)}dx
(\partial)/(\partial x)(6x^{4y})	\frac{\partial\:}{\partial\:x}(6x^{4y})
integral of x^3sqrt(1-x)	\int\:x^{3}\sqrt{1-x}dx
derivative of 4-(25/(6x^{1/6)})	\frac{d}{dx}(4-\frac{25}{6x^{\frac{1}{6}}})
derivative of ln(3x^2+7)	\frac{d}{dx}(\ln(3x^{2}+7))
y^{''}+81y=4tan(9x)	y^{\prime\:\prime\:}+81y=4\tan(9x)
limit as x approaches 4 of x/4+1	\lim\:_{x\to\:4}(\frac{x}{4}+1)
integral of 4pix^2	\int\:4πx^{2}dx
integral of 1/3 sec^2(8x)	\int\:\frac{1}{3}\sec^{2}(8x)dx
integral of sin(2t)cos(t)	\int\:\sin(2t)\cos(t)dt
y^{''}+3y^'+0=5	y^{\prime\:\prime\:}+3y^{\prime\:}+0=5
integral from 0 to 1/3 of 2/(1+9x^2)	\int\:_{0}^{\frac{1}{3}}\frac{2}{1+9x^{2}}dx
integral from 0 to 2 of 1/(x^2-5x+4)	\int\:_{0}^{2}\frac{1}{x^{2}-5x+4}dx
tangent of f(x)=x+e^x-1/x ,\at x=1	tangent\:f(x)=x+e^{x}-\frac{1}{x},\at\:x=1
limit as x approaches pi/3 of cos(x)	\lim\:_{x\to\:\frac{π}{3}}(\cos(x))
limit as x approaches 1 of (-x+1)/(x-1)	\lim\:_{x\to\:1}(\frac{-x+1}{x-1})
derivative of x^{18}	derivative\:x^{18}
laplacetransform 35	laplacetransform\:35
derivative of y=(tan(x)-1)/(sec(x))	derivative\:y=\frac{\tan(x)-1}{\sec(x)}
y^{'''}-9y^{''}+y^'-9y=0	y^{\prime\:\prime\:\prime\:}-9y^{\prime\:\prime\:}+y^{\prime\:}-9y=0
derivative of (x^2-1(x^3+3x))	\frac{d}{dx}((x^{2}-1)(x^{3}+3x))
(y^2)^'	(y^{2})^{\prime\:}
derivative of x+6	\frac{d}{dx}(x+6)
integral of (4x)/(sqrt(2x^2+1))	\int\:\frac{4x}{\sqrt{2x^{2}+1}}dx
integral of g(x)	\int\:g(x)dx
integral of x(x+6)^{1/2}	\int\:x(x+6)^{\frac{1}{2}}dx
integral of 1/(5x+2)	\int\:\frac{1}{5x+2}dx
(dy)/(dx)= y/x	\frac{dy}{dx}=\frac{y}{x}
(\partial)/(\partial y)((cy)/(x^2+y^2))	\frac{\partial\:}{\partial\:y}(\frac{cy}{x^{2}+y^{2}})
limit as x approaches 2 of 1/(sqrt(x-1))	\lim\:_{x\to\:2}(\frac{1}{\sqrt{x-1}})
integral of 3+x	\int\:3+xdx
limit as x approaches+1+of x	\lim\:_{x\to\:+1+}(x)
limit as x approaches 9 of 5/(x+5)	\lim\:_{x\to\:9}(\frac{5}{x+5})
sum from n=0 to infinity of (x-3)^n	\sum\:_{n=0}^{\infty\:}(x-3)^{n}
integral of e^{-4x}sin(bx)	\int\:e^{-4x}\sin(bx)dx
integral from 5 to 3 of 2	\int\:_{5}^{3}2dx
integral of 2cot^3(x)csc^3(x)	\int\:2\cot^{3}(x)\csc^{3}(x)dx
limit as x approaches infinity of-2x^4	\lim\:_{x\to\:\infty\:}(-2x^{4})
derivative of pix^2h	\frac{d}{dx}(πx^{2}h)
f(x)=xe^{(x+2)}	f(x)=xe^{(x+2)}
integral of ((x^3))/3	\int\:\frac{(x^{3})}{3}dx
derivative of y=3x^2+17x+10	derivative\:y=3x^{2}+17x+10
(\partial)/(\partial x)(x^2y+x+y)	\frac{\partial\:}{\partial\:x}(x^{2}y+x+y)
limit as x approaches 1 of (x-1)/(ln(x))	\lim\:_{x\to\:1}(\frac{x-1}{\ln(x)})
integral of 6e^{-0.1x}	\int\:6e^{-0.1x}dx
taylor sin(x), pi/2	taylor\:\sin(x),\frac{π}{2}
integral of (-4/(sqrt(3-3x^2)))	\int\:(-\frac{4}{\sqrt{3-3x^{2}}})dx
derivative of g(x)=((9+6x)/(7-4x))	derivative\:g(x)=(\frac{9+6x}{7-4x})
(\partial)/(\partial z)(y/z)	\frac{\partial\:}{\partial\:z}(\frac{y}{z})
derivative of (Ax^2+Bxe^{-x})	\frac{d}{dx}((Ax^{2}+Bx)e^{-x})
d/(dt)((2t)/(t^2+2))	\frac{d}{dt}(\frac{2t}{t^{2}+2})
derivative of arccot(3x)	derivative\:\arccot(3x)
sum from n=1 to infinity of (n!)/(14^n)	\sum\:_{n=1}^{\infty\:}\frac{n!}{14^{n}}
(\partial)/(\partial y)(-2sec^2(3x-2y+1))	\frac{\partial\:}{\partial\:y}(-2\sec^{2}(3x-2y+1))
sum from n=0 to infinity of ((8^n))/(n!)	\sum\:_{n=0}^{\infty\:}\frac{(8^{n})}{n!}
y^'+y=y^2	y^{\prime\:}+y=y^{2}
derivative of 30x^4y^7-24x^{12}y^3	\frac{d}{dx}(30x^{4}y^{7}-24x^{12}y^{3})
derivative of-e^{x^2}	\frac{d}{dx}(-e^{x^{2}})
(\partial)/(\partial y)(x+ln(y))	\frac{\partial\:}{\partial\:y}(x+\ln(y))
integral from 1 to e^5 of x^4ln(x)	\int\:_{1}^{e^{5}}x^{4}\ln(x)dx
derivative of y=(x^2-1)/(x^2+1)	derivative\:y=\frac{x^{2}-1}{x^{2}+1}
integral from-1 to 2 of (3x+1)	\int\:_{-1}^{2}(3x+1)dx
inverse oflaplace (x^2+1)/(x^2-x-6)	inverselaplace\:\frac{x^{2}+1}{x^{2}-x-6}
derivative of f(x)=8sin^6(sqrt(x))	derivative\:f(x)=8\sin^{6}(\sqrt{x})
limit as x approaches 4+of 1/(\|4-x\|)	\lim\:_{x\to\:4+}(\frac{1}{\left\|4-x\right\|})
slope of y=x^3,\at x=5	slope\:y=x^{3},\at\:x=5
derivative of 3x^4-2x^3-12x^2+18x+15	\frac{d}{dx}(3x^{4}-2x^{3}-12x^{2}+18x+15)
derivative of 1/(ln(x^2))	\frac{d}{dx}(\frac{1}{\ln(x^{2})})
(\partial)/(\partial y)(ln(x^2y^2))	\frac{\partial\:}{\partial\:y}(\ln(x^{2}y^{2}))
integral of 3xsin^2(x)	\int\:3x\sin^{2}(x)dx
integral from 0 to 1 of-1/(x-5)+2/(x-2)	\int\:_{0}^{1}-\frac{1}{x-5}+\frac{2}{x-2}dx
integral of (2x+6)^5	\int\:(2x+6)^{5}dx

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